10037218800 has 180 divisors, whose sum is σ = 37402173816. Its totient is φ = 2294208000.

The previous prime is 10037218777. The next prime is 10037218817. The reversal of 10037218800 is 881273001.

It is a happy number.

10037218800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10037218800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26551 + ... + 144150.

Almost surely, 2^10037218800 is an apocalyptic number.

10037218800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10037218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701086908).

10037218800 is an abundant number, since it is smaller than the sum of its proper divisors (27364955016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10037218800 is a wasteful number, since it uses less digits than its factorization.

10037218800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170736 (or 170718 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 10037218800 in words is "ten billion, thirty-seven million, two hundred eighteen thousand, eight hundred".